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NEET2013PhysicsWork, Power and EnergyActual

A uniform force of (3 i + j ) N acts on a particle of mass 2 ~kg . Hence the particle is displaced from position (2 i + k ) m to position (4 i +3 j - k ) m . The work done by the force on the particle is

Options

  1. A9 ~J
  2. B6 ~J
  3. C13 ~J
  4. D15 ~J

Correct answer

A. 9 ~J

Step-by-step solution

Given, force F=3 i+j array l r₁=(2 i+k) m and r₂ =(4 i+3 j-k) m s=r₂-r₁=(4 i+3 j-k)-(2 i+k) =(2 i+3 j-2 k) m array l W=F s & =(3 i+j) (2 i+3 j-2 k) & =3 2+3+0 & =6+3=9 ~J array array

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